Answer
$\frac{3-4x}{6x}$
Work Step by Step
Rewrite the fractions to get a common denominator. $$\frac{1}{2x}-\frac{2}{3}=\frac{3}{3(2x)}-\frac{2(2x)}{3(2x)}=\frac{3}{6x}-\frac{4x}{6x}$$ Therefore, the expression simplifies to $\frac{3-4x}{6x}$.
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